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Finding the Fourth Proportional to 9,701.88, 13,394.87 and 7,573.74

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Solution

The fourth proportional to 9,701.88, 13,394.87 and 7,573.74 is: 10,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.88 : 13,394.87 = 7,573.74 : x
  2. Step 2: Convert to fraction form
    9,701.88/13,394.87 = 7,573.74/x
  3. Step 3: Cross multiply
    9,701.88x = 13,394.87 × 7,573.74
  4. Step 4: Simplify right side
    9,701.88x = 101,449,262.71
  5. Step 5: Solve for x
    x = 101,449,262.71/9,701.88
  6. Step 6: Final answer
    x = 10,456.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.